The vibrational frequency of the hydrogen chloride HCI diatomic molecule is 8.97 x 1013 Hz. chloride atom is 35.5 times more massive than hydrogen atom. (my = 1.67 x 0-27 kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon?

The vibrational frequency of the hydrogen chloride HCI diatomic molecule is 8.97 x 1013 Hz. chloride atom is 35.5 times more massive than hydrogen atom. (my = 1.67 x 0-27 kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon?

Chemistry

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ISBN:9781305957404

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Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

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Concept explainers

Electronic Transitions and Spectroscopy

The term “electronic” connotes electron, and the term “transition” implies transformation. In a molecule, the electrons move from a lower to a higher energy state due to excitation. The two energy states, the ground state and the excited state are the lowest and the highest energy states, respectively. An energy change is observed with this transition, which depicts the various data related to the molecule.

Photoelectron Spectroscopy

Photoelectron spectroscopy (PES) is a part of experimental chemistry. It is a technique used in laboratories that involves projecting intense beams of radiation on a sample element. In response, the element ejects electrons for which the relative energies are measured.

Question

The vibrational frequency of the hydrogen chloride HCl diatomic molecule is 8.97 x 1013Hz. chloride atom is
35.5 times more massive than hydrogen atom. (mµ = 1.67 x 0-27kg,c = 3.0 x 10°m/s)
a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms?
b) What is the energy of the emitted photon when this molecule makes a transition between adjacent
vibrational energy levels?
c) What is the wavelength of the emitted photon?
d) The possible wavelengths of photons emitted with the HCl molecule decays from the 2nd excited state
eventually to the ground state(0 state).

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